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Stock-based Compensation Expense Stock Based Compensation Expense (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Oct. 31, 2015
Oct. 31, 2014
Oct. 31, 2015
Oct. 31, 2014
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation expense related to stock awards and ESPP purchases $ 50.2 $ 43.1 $ 141.1 $ 116.5
Tax benefit 0.0 (11.7) 0.0 (31.3)
Stock-based compensation expense related to stock awards and ESPP purchases, net of tax 50.2 31.4 141.1 85.2
Cost of license and other revenue        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Allocated share-based compensation expense 1.7 1.2 4.4 3.2
Cost of subscription        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Allocated share-based compensation expense 1.5 1.1 4.1 2.9
Marketing and sales        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Allocated share-based compensation expense 22.3 19.4 61.3 51.0
Research and development        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Allocated share-based compensation expense 17.5 14.7 49.9 39.3
General and administrative        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Allocated share-based compensation expense $ 7.2 $ 6.7 $ 21.4 $ 20.1